Mathematics and Visualization
Series Editors Gerald Farin Hans-Christian Hege David Hoffman Christopher R. Johnson Konrad Polthier Martin Rumpf
Helmut Pottmann Johannes Wallner
Computational Line Geometry With 264 Figures, 17 in Color
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Helmut Pottmann Geometric Modeling and Industrial Geometry Vienna University of Technology Wiedner Hauptstr. 8-10/104 1040 Wien Austria
[email protected] and Geometric Modeling and Scientific Visualization Research Center King Abdullah University of Science and Technology Thuwal 23955-6900 Saudi Arabia
[email protected] Johannes Wallner Institute of Geometry Graz University of Technology Kopernikusgasse 24 8010 Graz Austria
[email protected] ISSN 1612-3786 e-ISBN 978-3-642-04018-4 ISBN 978-3-540-42058-3 (hardcover) ISBN 978-3-642-04017-7 (softcover) DOI 10.1007/978-3-642-04018-4 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2009942430 Mathematics Subject Classification (2000): 51M30, 53A25, 51J15, 70B10, 65Y25, 68U05, 14Qxx © Springer-Verlag Berlin Heidelberg 2001, First softcover printing 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik, Berlin Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
H. Pottmann and J. Wallner, Computational Line Geometry, Mathematics and Visualization, DOI 10.1007/978-3-642-04018-4_1, © Springer-Verlag Berlin Heidelberg 2010
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H. Pottmann and J. Wallner, Computational Line Geometry, Mathematics and Visualization, DOI 10.1007/978-3-642-04018-4_2, © Springer-Verlag Berlin Heidelberg 2010
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H. Pottmann and J. Wallner, Computational Line Geometry, Mathematics and Visualization, DOI 10.1007/978-3-642-04018-4_3, © Springer-Verlag Berlin Heidelberg 2010
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H. Pottmann and J. Wallner, Computational Line Geometry, Mathematics and Visualization, DOI 10.1007/978-3-642-04018-4_4, © Springer-Verlag Berlin Heidelberg 2010
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H. Pottmann and J. Wallner, Computational Line Geometry, Mathematics and Visualization, DOI 10.1007/978-3-642-04018-4_5, © Springer-Verlag Berlin Heidelberg 2010
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H. Pottmann and J. Wallner, Computational Line Geometry, Mathematics and Visualization, DOI 10.1007/978-3-642-04018-4_6, © Springer-Verlag Berlin Heidelberg 2010
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H. Pottmann and J. Wallner, Computational Line Geometry, Mathematics and Visualization, DOI 10.1007/978-3-642-04018-4_7, © Springer-Verlag Berlin Heidelberg 2010
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H. Pottmann and J. Wallner, Computational Line Geometry, Mathematics and Visualization, DOI 10.1007/978-3-642-04018-4_8, © Springer-Verlag Berlin Heidelberg 2010
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